dorsal/arxiv
View SchemaPhenomenological model of the Kaonic Nuclear Cluster K^-pp in the ground state
| Authors | A. N. Ivanov, P. Kienle, J. Marton, E. Widmann |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512037 |
| URL | https://arxiv.org/abs/nucl-th/0512037 |
Abstract
A phenomenological model is proposed for the analysis of the properties of the Kaonic Nuclear Cluster (KNC) Kpp in its ground state. Inside the KNC K^-pp we describe the relative motion of the protons in the pp pair and the motion of the K^- meson relative to the pp pair in terms of wave functions of 3-dimensional harmonic oscillators. The interaction strength is parameterised in our model by the frequency of the longitudinal oscillation of the K^- meson relative to the pp pair. This parameter was determined with the binding energy and width of the strange baryon Lambda(1405) by assuming that it is a bound state of the K^-p pair. In terms of this interaction strength we calculate the binding energy epsilon_(Kpp) = - 118 MeV, the partial widths of non-pionic decay channels and the total width, Gamma_(Kpp) = 58 MeV. This agrees well with the experimental data by the FINUDA Collaboration (PRL 94, 212303 (2005)): epsilon_exp = - 115(+6/-5) MeV and Gamma_exp = 67(+14/-11) MeV. The discrepancy with the results, obtained by Akaishi and Yamazaki within the potential model approach, is discussed.
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"abstract": "A phenomenological model is proposed for the analysis of the properties of\nthe Kaonic Nuclear Cluster (KNC) Kpp in its ground state. Inside the KNC K^-pp\nwe describe the relative motion of the protons in the pp pair and the motion of\nthe K^- meson relative to the pp pair in terms of wave functions of\n3-dimensional harmonic oscillators. The interaction strength is parameterised\nin our model by the frequency of the longitudinal oscillation of the K^- meson\nrelative to the pp pair. This parameter was determined with the binding energy\nand width of the strange baryon Lambda(1405) by assuming that it is a bound\nstate of the K^-p pair. In terms of this interaction strength we calculate the\nbinding energy epsilon_(Kpp) = - 118 MeV, the partial widths of non-pionic\ndecay channels and the total width, Gamma_(Kpp) = 58 MeV. This agrees well with\nthe experimental data by the FINUDA Collaboration (PRL 94, 212303 (2005)):\nepsilon_exp = - 115(+6/-5) MeV and Gamma_exp = 67(+14/-11) MeV. The discrepancy\nwith the results, obtained by Akaishi and Yamazaki within the potential model\napproach, is discussed.",
"arxiv_id": "nucl-th/0512037",
"authors": [
"A. N. Ivanov",
"P. Kienle",
"J. Marton",
"E. Widmann"
],
"categories": [
"nucl-th",
"hep-ex",
"hep-ph",
"nucl-ex"
],
"title": "Phenomenological model of the Kaonic Nuclear Cluster K^-pp in the ground state",
"url": "https://arxiv.org/abs/nucl-th/0512037"
},
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